Reducing the clustering challenge in the IoT using two disjoint convex hulls

Accurate clustering of IoT devices is a promising challenge. We have observed that a few studies have been performed to address this challenge. However, they are expensive or do not shape accurate clustering. To fill this gap, in this study, we first solve a geometric version of a big challenge in pure mathematics: the NP-hard "Almost [Formula: see text]" problem. Then, we solve it in a polynomial time. To clarify the concept, we present it as the "Two Disjoint Convex Hulls" challenge. We solve this challenge using two algorithms: the first is "Naive" and the second is faster than the "Naive" one can solve it in polynomial order, [Formula: see text]. In addition to providing a mathematical proof of our solution, we demonstrate its superior performance within an IoT industrial ecosystem.

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Publication Details

Journal
Scientific Reports
Published
2025-05-17
DOI
https://doi.org/10.1038/s41598-025-88932-2
Primary Topic
Energy Efficient Wireless Sensor Networks
Type
article
Field-Weighted Citation Impact
0.00

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article

Reducing the clustering challenge in the IoT using two disjoint convex hulls

Mehdi Gheisari, Yi He Wan, Bahram Sadeghi Bigham, Aminreza Karamoozian et al.
Scientific Reports
Energy Efficient Wireless Sensor Networks
article

Reducing the clustering challenge in the IoT using two disjoint convex hulls

Mehdi Gheisari, Yi He Wan, Bahram Sadeghi Bigham, Aminreza Karamoozian, Huxiong Li, Panjun Sun
article en

Abstract

Accurate clustering of IoT devices is a promising challenge. We have observed that a few studies have been performed to address this challenge. However, they are expensive or do not shape accurate clustering. To fill this gap, in this study, we first solve a geometric version of a big challenge in pure mathematics: the NP-hard "Almost [Formula: see text]" problem. Then, we solve it in a polynomial time. To clarify the concept, we present it as the "Two Disjoint Convex Hulls" challenge. We solve this challenge using two algorithms: the first is "Naive" and the second is faster than the "Naive" one can solve it in polynomial order, [Formula: see text]. In addition to providing a mathematical proof of our solution, we demonstrate its superior performance within an IoT industrial ecosystem.

Scientific ReportsVol. 15(1)
Shaoxing University (CN), Alzahra University (IR)
Natural Science Foundation of Zhejiang Province
Openalex Percentile: Top 89%
Energy Efficient Wireless Sensor Networks
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Reducing the clustering challenge in the IoT using two disjoint convex hulls — Mehdi Gheisari, Yi He Wan, et al. · Scientific Reports (2025) | TGRS Research Map | TGRS